Photon energy calculator

When the user enters the wavelength \( (\lambda) \) of light, the calculator computes the photon energy \( (E) \) using the formula: \[ E = \frac{hc}{\lambda} \] where: - \( h \) is Planck's constant, \( h = 6.626 \times 10^{-34} \, \text{J} \cdot \text{s} \) - \( c \) is the speed of light, \( c = 3.00 \times 10^8 \, \text{m/s} \) - \( \lambda \) is the wavelength in meters (m) If the wavelength is entered in units other than meters, such as nanometers (nm) or micrometers (µm), the calculator first converts it to meters by multiplying with the appropriate factor. Once the wavelength is in meters, the energy \( E \) is calculated in joules (J). To convert this result into electron volts (eV), we use the conversion: \[ E_{\text{eV}} = \frac{E}{1.602 \times 10^{-19}} \] where \( 1 \, \text{eV} = 1.602 \times 10^{-19} \, \text{J} \).

If the user enters the frequency \( (f) \) of light, the calculator uses the formula: \[ E = hf \] where: - \( h \) is Planck's constant as defined above - \( f \) is the frequency in hertz (Hz) If the frequency is entered in units such as gigahertz (GHz) or terahertz (THz), the calculator converts it to hertz by multiplying by the appropriate factor. Once converted, the photon energy \( E \) in joules (J) is calculated using \( E = hf \). To display this energy in electron volts (eV), the calculator applies the same conversion: \[ E_{\text{eV}} = \frac{E}{1.602 \times 10^{-19}} \]

The calculator dynamically updates the wavelength or frequency field based on the other input. For example, if the user enters a wavelength, the frequency \( (f) \) is calculated using: \[ f = \frac{c}{\lambda} \] Conversely, if a frequency is entered, the wavelength is computed as: \[ \lambda = \frac{c}{f} \] This interdependent calculation ensures that users see the corresponding values and energy for both wavelength and frequency inputs.